What am I doing wrong here, I thought the order of integration and differentiation didn't matter in most cases:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_a^b \frac{d}{dx} f(x) dx = \frac{d}{dx} \int_a^b f(x) dx = \frac{d}{dx} (F(b) - F(a)) = 0

[/tex]

This is zero no matter what the expression of f(x) because F(a) and F(b) are constants. Am I not allowed to take the differentiation outside the integral when the integral has limits? This is most likely a stupid question for reasons I cannot see.

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# Order of integration and differentiation?

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